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Finding the Third Proportional to 167,076 and 345,222

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Solution

The third proportional to 167,076 and 345,222 is: 713,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,076 : 345,222 = 345,222 : x
  2. Step 2: Convert to fraction form
    167,076/345,222 = 345,222/x
  3. Step 3: Cross multiply
    167,076x = 345,222 × 345,222
  4. Step 4: Simplify right side
    167,076x = 119,178,229,284
  5. Step 5: Solve for x
    x = 119,178,229,284/167,076
  6. Step 6: Final answer
    x = 713,317.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.